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Finding the Third Proportional to 351,016 and 828,331

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Solution

The third proportional to 351,016 and 828,331 is: 1,954,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,016 : 828,331 = 828,331 : x
  2. Step 2: Convert to fraction form
    351,016/828,331 = 828,331/x
  3. Step 3: Cross multiply
    351,016x = 828,331 × 828,331
  4. Step 4: Simplify right side
    351,016x = 686,132,245,561
  5. Step 5: Solve for x
    x = 686,132,245,561/351,016
  6. Step 6: Final answer
    x = 1,954,703.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.